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Finding the Fourth Proportional to 728.52, 1,005.90 and 466.68

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Solution

The fourth proportional to 728.52, 1,005.90 and 466.68 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.52 : 1,005.90 = 466.68 : x
  2. Step 2: Convert to fraction form
    728.52/1,005.90 = 466.68/x
  3. Step 3: Cross multiply
    728.52x = 1,005.90 × 466.68
  4. Step 4: Simplify right side
    728.52x = 469,433.41
  5. Step 5: Solve for x
    x = 469,433.41/728.52
  6. Step 6: Final answer
    x = 644.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.